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Computing Roots of Polynomials over Function Fields of Curves

Publications associées (66)

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Analytical Force Determination in an Electromagnetic Actuator

Yves Perriard, Marcel Jufer, Miroslav Markovic

We present an original analytical determination of the force acting on the moving coil in an electromagnetic actuator. The actuator magnetic field is solved analytically by Schwarz-Christoffel (SC) mapping. The SC integral is solved analytically using the ...

2008

Direct measurement of drainage curves in infiltration of SiC particle preforms

Andreas Mortensen, Ludger Weber, Maryam Bahraini Hasani

Drainage curves (plots of the non-wetting fluid saturation versus applied pressure) for infiltration of SiC particle preforms with Al and Al-12.2 at.% Si are measured at 1023 K (750 degrees C) with a pressure infiltration apparatus adapted for direct track ...

2008

Efficient multiplication using type $2$ optimal normal bases

Mohammad Amin Shokrollahi

In this paper we propose a new structure for multiplication using optimal normal bases of type

2

. The multiplier uses an efficient linear transformation to convert the normal basis representations of elements of

F_{q^{n}}

to suitable polynomials of deg ...

2007

Le carré de la fonction des diviseurs

Nicolas Bersier

Let d(n) denote Dirichlet's divisor function for positive integer numbers. This work is primarily concerned with the study of We are interested, in the error term where Ρ3 is a polynomial of degree 3 ; more precisely xΡ3(log x) is the residue of in s = 1. ...

EPFL2007

Primality Testing

Kamal Tahiri Jouti

Since the discovery of the utility of the numbers, the human being tried to differentiate them. We decide between them according to whether they are even or odd. Or, according to the fact that they are prime or composite. A natural number n >1 is called a ...

2006

Multiphysical Brushless DC Motor Optimization Process

Yves Perriard, Miroslav Markovic

An original analytical determination of the force acting on the moving coil in an electromagnetic actuator is presented. The actuator magnetic field is solved analytically using the Schwarz-Christoffel (SC) mapping. The SC integral is solved analytically u ...

2006

Symmetry breaking in mechanical systems

The first part of this thesis studies the problem of symmetry breaking in the context of simple mechanical systems with compact symmetry Lie group G. In this part we shall assume that the principal stratum of the G-action on the configuration space Q of a ...

EPFL2005

Separable Term Structures and the Maximal Degree Problem

Damir Filipovic

This paper discusses separable term structure diffusion models in an arbitrage-free environment. Using general consistency results we exploit the interplay between the diffusion coefficients and the functions determining the forward curve. We introduce the ...

Wiley-Blackwell2002

Stereotypy in neocortical microcircuits

Henry Markram, Gilad Silberberg

A central debate regarding neocortical function concerns the degree to which the underlying microcircuitry is stereotypically organized. Stereotypy reflects invariance in structure and function, as a result of common genetic templates and environmental con ...

2002

Irregular primes and Cyclotomic Invariants to Twelve Million

Mohammad Amin Shokrollahi

Computations of irregular primes and associated cyclotomic invariants were extended to all primes up to twelve million using multisectioning/convolution methods and a novel approach which originated in the study of Stickelberger codes (Shokrollahi (1996)). ...

2001

Efficient multiplication using type $2$ optimal normal bases

Mohammad Amin Shokrollahi

In this paper we propose a new structure for multiplication using optimal normal bases of type

2

. The multiplier uses an efficient linear transformation to convert the normal basis representations of elements of

F_{q^{n}}

to suitable polynomials of deg ...

2007